LMFDB - L-function search results

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Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

Degree	Bad $p$	Root analytic conductor	Motivic weight	Spectral label

Root angle	Primitive	Origin	Exclude origin	Self-dual

Arithmetic

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Results (1-50 of 136 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1368-1368.1003-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1003	$0$	✓	✓	$0.0919$	$0$	$1.04780$	Character $\chi_{1368}(1003, \cdot)$
1-1368-1368.1069-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1069	$0$	✓	✓	$0.0339$	$0$	$1.18124$	Character $\chi_{1368}(1069, \cdot)$
1-1368-1368.1085-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1085	$0$	✓	✓	$-0.0592$	$0$	$0.706940$	Character $\chi_{1368}(1085, \cdot)$
1-1368-1368.11-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.11	$0$	✓	✓	$0.172$	$0$	$1.50607$	Character $\chi_{1368}(11, \cdot)$
1-1368-1368.1123-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1123	$0$	✓	✓	$-0.0314$	$0$	$0.731923$	Character $\chi_{1368}(1123, \cdot)$
1-1368-1368.1163-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1163	$0$	✓	✓	$0.493$	$0$	$1.70882$	Character $\chi_{1368}(1163, \cdot)$
1-1368-1368.1165-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1165	$0$	✓	✓	$0.0531$	$0$	$1.09968$	Character $\chi_{1368}(1165, \cdot)$
1-1368-1368.1181-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1181	$0$	✓	✓	$-0.0276$	$0$	$0.977345$	Character $\chi_{1368}(1181, \cdot)$
1-1368-1368.1213-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1213	$0$	✓	✓	$-0.0531$	$0$	$0.775729$	Character $\chi_{1368}(1213, \cdot)$
1-1368-1368.1219-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1219	$0$	✓	✓	$-0.0554$	$0$	$0.920455$	Character $\chi_{1368}(1219, \cdot)$
1-1368-1368.1229-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1229	$0$	✓	✓	$0.0276$	$0$	$0.967169$	Character $\chi_{1368}(1229, \cdot)$
1-1368-1368.1253-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1253	$0$	✓	✓	$0.138$	$0$	$0.810072$	Character $\chi_{1368}(1253, \cdot)$
1-1368-1368.1267-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1267	$0$	✓	✓	$0.0554$	$0$	$0.968953$	Character $\chi_{1368}(1267, \cdot)$
1-1368-1368.1291-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1291	$0$	✓	✓	$0.111$	$0$	$1.08368$	Character $\chi_{1368}(1291, \cdot)$
1-1368-1368.1309-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1309	$0$	✓	✓	$-0.224$	$0$	$0.532736$	Character $\chi_{1368}(1309, \cdot)$
1-1368-1368.131-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.131	$0$	✓	✓	$0.0252$	$0$	$0.797735$	Character $\chi_{1368}(131, \cdot)$
1-1368-1368.1325-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1325	$0$	✓	✓	$0.158$	$0$	$1.03220$	Character $\chi_{1368}(1325, \cdot)$
1-1368-1368.1355-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1355	$0$	✓	✓	$0.303$	$0$	$1.45840$	Character $\chi_{1368}(1355, \cdot)$
1-1368-1368.1363-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1363	$0$	✓	✓	$0.130$	$0$	$1.03661$	Character $\chi_{1368}(1363, \cdot)$
1-1368-1368.157-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.157	$0$	✓	✓	$0.256$	$0$	$0.906101$	Character $\chi_{1368}(157, \cdot)$
1-1368-1368.173-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.173	$0$	✓	✓	$0.218$	$0$	$1.36002$	Character $\chi_{1368}(173, \cdot)$
1-1368-1368.211-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.211	$0$	✓	✓	$0.190$	$0$	$1.35304$	Character $\chi_{1368}(211, \cdot)$
1-1368-1368.221-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.221	$0$	✓	✓	$0.262$	$0$	$1.35084$	Character $\chi_{1368}(221, \cdot)$
1-1368-1368.259-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.259	$0$	✓	✓	$0.289$	$0$	$1.43634$	Character $\chi_{1368}(259, \cdot)$
1-1368-1368.275-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.275	$0$	✓	✓	$-0.303$	$0$	$0.399276$	Character $\chi_{1368}(275, \cdot)$
1-1368-1368.277-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.277	$0$	✓	✓	$0.422$	$0$	$1.24628$	Character $\chi_{1368}(277, \cdot)$
1-1368-1368.29-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.29	$0$	✓	✓	$0.0592$	$0$	$0.721614$	Character $\chi_{1368}(29, \cdot)$
1-1368-1368.293-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.293	$0$	✓	✓	$0.460$	$0$	$1.54179$	Character $\chi_{1368}(293, \cdot)$
1-1368-1368.301-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.301	$0$	✓	✓	$0.169$	$0$	$1.02749$	Character $\chi_{1368}(301, \cdot)$
1-1368-1368.317-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.317	$0$	✓	✓	$0.305$	$0$	$1.47917$	Character $\chi_{1368}(317, \cdot)$
1-1368-1368.331-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.331	$0$	✓	✓	$0.487$	$0$	$1.34207$	Character $\chi_{1368}(331, \cdot)$
1-1368-1368.347-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.347	$0$	✓	✓	$-0.493$	$0$	$0.0300045$	Character $\chi_{1368}(347, \cdot)$
1-1368-1368.349-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.349	$0$	✓	✓	$0.355$	$0$	$1.42175$	Character $\chi_{1368}(349, \cdot)$
1-1368-1368.355-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.355	$0$	✓	✓	$0.277$	$0$	$0.857389$	Character $\chi_{1368}(355, \cdot)$
1-1368-1368.443-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.443	$0$	✓	✓	$-0.419$	$0$	$0.411454$	Character $\chi_{1368}(443, \cdot)$
1-1368-1368.491-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.491	$0$	✓	✓	$0.419$	$0$	$1.60378$	Character $\chi_{1368}(491, \cdot)$
1-1368-1368.509-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.509	$0$	✓	✓	$-0.158$	$0$	$0.503035$	Character $\chi_{1368}(509, \cdot)$
1-1368-1368.517-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.517	$0$	✓	✓	$-0.0339$	$0$	$1.10471$	Character $\chi_{1368}(517, \cdot)$
1-1368-1368.547-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.547	$0$	✓	✓	$-0.130$	$0$	$0.934302$	Character $\chi_{1368}(547, \cdot)$
1-1368-1368.587-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.587	$0$	✓	✓	$0.303$	$0$	$1.17644$	Character $\chi_{1368}(587, \cdot)$
1-1368-1368.61-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.61	$0$	✓	✓	$-0.256$	$0$	$0.257539$	Character $\chi_{1368}(61, \cdot)$
1-1368-1368.67-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.67	$0$	✓	✓	$0.0314$	$0$	$0.679928$	Character $\chi_{1368}(67, \cdot)$
1-1368-1368.677-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.677	$0$	✓	✓	$-0.460$	$0$	$0.396057$	Character $\chi_{1368}(677, \cdot)$
1-1368-1368.707-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.707	$0$	✓	✓	$0.216$	$0$	$0.882861$	Character $\chi_{1368}(707, \cdot)$
1-1368-1368.709-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.709	$0$	✓	✓	$-0.169$	$0$	$0.320616$	Character $\chi_{1368}(709, \cdot)$
1-1368-1368.715-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.715	$0$	✓	✓	$-0.487$	$0$	$0.0174792$	Character $\chi_{1368}(715, \cdot)$
1-1368-1368.725-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.725	$0$	✓	✓	$-0.305$	$0$	$0.333268$	Character $\chi_{1368}(725, \cdot)$
1-1368-1368.731-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.731	$0$	✓	✓	$-0.0252$	$0$	$0.746539$	Character $\chi_{1368}(731, \cdot)$
1-1368-1368.733-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.733	$0$	✓	✓	$-0.355$	$0$	$0.347207$	Character $\chi_{1368}(733, \cdot)$
1-1368-1368.749-r0-0-0	$6.35$	$6.35$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.749	$0$	✓	✓	$-0.262$	$0$	$0.558855$	Character $\chi_{1368}(749, \cdot)$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.